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A mixture contains two liquids a and b in a ratio 9 : 16. Find the ratio of their prices if the mixture costs 175 rupees and the ratio of their prices in the mixture is 3 : 4.

A mixture contains two liquids a and b in a ratio 9 : 16. Find the ratio of their prices if the mixture costs 175 rupees and the ratio of their prices in the mixture is 3 : 4. Correct Answer 4 : 3

Let the quantities in the liquid be in terms of x. The quantity of liquid a is 9x and the quantity of liquid is 16x. Their price in the liquid is in the ratio 3 : 4. The price of liquid a in the liquid = 175/7 * 3 = 75 rupees The price of liquid b in the liquid = 175/7 * 4 = 100 rupees The quantity of liquid a = 9x The price of liquid a is 75 rupees. The price of liquid a for 1x. X = 75/9 = 25/3 The quantity of liquid b in the mixture = 16x The price of the liquid b in the mixture = 100 rupees The price of liquid b for 1x X = 100/16 = 25/4 The ratio of price of a and b = 25/3 : 25/4 = 100 : 75 = 4 : 3

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